Hibbert helped lead the Georgetown Hoyas to the 2006–07 conference championship

Hibbert was named to the All-Big East Second Team in 2006 along with teammate Jeff Green.[4] In 2007, he and Green were unanimous selections to the All-Big East First Team, with Green earning Big East Player of the Year honors. The two led the Hoyas to victory in the 2007 Big East Conference Championship for the first time since 1989 against the Pittsburgh Panthers; Hibbert contributed a double-double with 18 points and 11 rebounds.[5] Before the 2007–08 season he was named Big East's preseason player of the year.[6] He was also named a pre-season All-American along with the likes of Tyler Hansbrough, whose North Carolina Tar Heels were upset by Hibbert's Hoyas in the Elite Eight of the 2007 NCAA Tournament.

Hibbert had repeatedly said that he planned to play all four years and graduate from Georgetown,[7] continuing the tradition of graduating Hoya centers such as Patrick Ewing, Alonzo Mourning and Dikembe Mutombo. However, his performance in helping to lead the Hoyas to the 2007 Final Four catapulted him into lottery pick status. Hibbert declared his eligibility for the 2007 NBA draft, but did not sign with an agent. On May 23, 2007, Hibbert announced he would return to school for his senior season. Hibbert said of Georgetown, "My heart was here. ... I feel like I have unfinished business here."[8] Following the Hoyas' upset loss to Davidson in the second round of the 2008 NCAA Tournament, Hibbert's collegiate career came to a close.

In college, Hibbert was often referred to as the "Big Stiff" from reporters and fans.[9][10]

In 2012, he was selected to the 2012 NBA All-Star Game as a reserve for the East. Playing just 10 minutes, Hibbert only recorded 3 points, on 1-3 shooting.

In Game 1 of the first round of the 2012 NBA Playoffs against the Orlando Magic, Hibbert recorded 9 blocks.

On July 13, 2012, Hibbert re-signed with the Pacers[12] on a reported four-year, $58 million contract.

On November 21, 2012, Hibbert set a career high by recording 11 blocks as part of a 10 point/11 rebound/11 block triple-double in a victory against the New Orleans Hornets. The 11 blocks also broke the franchise record for most blocks in a single game, and Hibbert became only the second player in Pacers history (alongside Jermaine O'Neal) to record a points-rebounds-blocks triple-double.

In Game 3 of a 2013 Eastern Conference Semifinals series against the New York Knicks, Hibbert recorded 24 points and 12 rebounds in a Pacers win.[13] In Game 6, Hibbert recorded 25 points and 12 rebounds, along with 5 blocks,[14] including a significant block on Carmelo Anthony, which led the Pacers to the 2013 Eastern Conference Finals. Hibbert averaged 15.8 points and 3.8 blocks in this series.

During the post-game press conference after Game 6 of the 2013 Eastern Conference Finals against the Miami Heat, Hibbert used the term "no homo" and later was fined $75,000 by the NBA for the remark.[15] Hibbert apologized for his comments in a statement released by the Pacers: "I am apologizing for insensitive remarks made during the post-game press conference after our victory over Miami Saturday night," he said. "They were disrespectful and offensive and not a reflection of my personal views. I used a slang term that is not appropriate in any setting, private or public, and the language I used definitely has no place in a public forum, especially over live television. I apologize to those who I have offended, to our fans and to the Pacers' organization."[16]

Hibbert was selected as an All-Star reserve for the East in 2014. Playing only 12 minutes, he tallied 8 points on 4-5 shooting. At the end of the season, Hibbert finished second in the Defensive Player of the Year voting with 166 out of the 1125, losing to Joakim Noah, who had 555 of the points. Hibbert averaged 2.2 blocks per game.

During the 2014 NBA playoffs, Hibbert would end up having scoreless games in games 5 and 6 of the Pacers' first round match against the eighth seed, Atlanta Hawks. The lack of productivity made Hibbert the second All-Star to ever go scoreless in consecutive games in the playoffs, the first being Jim King in 1968.[17] Hibbert would also have scoreless games in Game 1 of the semifinals (against the Washington Wizards) and in Game 4 of the conference finals (against the Miami Heat). By the end of the 2014 postseason, Hibbert had four scoreless postseason games, setting an NBA record for most scoreless NBA postseason games by a current All-Star. Hibbert's season ended in the Eastern Conference Finals as the Pacers were eliminated by the Miami Heat in 6 games.

On June 29, 2015, Hibbert exercised his player option with the Pacers for the 2015–16 season.[18]